212111112222101 has 16 divisors (see below), whose sum is σ = 214427783929968. Its totient is φ = 209798714112000.

The previous prime is 212111112222073. The next prime is 212111112222173. The reversal of 212111112222101 is 101222211111212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23357173721476 + 188753938500625 = 4832926^2 + 13738775^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111112222101 - 2⁴⁶ = 141742368044437 is a prime.

It is a super-2 number, since 2×212111112222101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111112222901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1786635995 + ... + 1786754711.

It is an arithmetic number, because the mean of its divisors is an integer number (13401736495623).

Almost surely, 2^{212111112222101} is an apocalyptic number.

It is an amenable number.

212111112222101 is a deficient number, since it is larger than the sum of its proper divisors (2316671707867).

212111112222101 is a wasteful number, since it uses less digits than its factorization.

212111112222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136552.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 212111112222101 its reverse (101222211111212), we get a palindrome (313333323333313).

The spelling of 212111112222101 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty-two thousand, one hundred one".